Pure Statistics

Pure

Surds and indices Quadratics Equations and inequalities Co-ordinate geometry Circles Differentiation Integration Proof

Surds and indices

Surds and their properties Rationalising the denominator Indices: introduction More indices

Quadratics

Factorising quadratics: introduction Factorising quadratics: next level Completing the square: introduction Completing the square: continued Completing the square: as a method to solve Hidden quadratics Modelling with quadratics

Equations and inequalities

Simultaneous equations Simultaneous equations and the discriminant Inequalities: introduction Inequalities: next level

Differentiation

The definition of the derivative Rule for polynomials Tangents and normals Stationary points Higher derivatives Increasing and decreasing functions Applications of differentiation

Integration

Indefinite integration Applying integration Calculating areas under curves Some properties of definite integrals Calculating areas between curves

Proof

Proof by deduction If and only if Proof by exhaustion Proof by counter-example

Statistics
Collecting and displaying data Measures of location and spread Bivariate data Probability The binomial distribution Hypothesis testing for binomial

Collecting and displaying data

Populations and samples More sampling methods Types of data, and stem and leaf Histograms Cumulative frequency

Measures of location and spread

Measures of location: introduction Summation notation and frequency tables Interquartile range Variance and standard deviation Variance from frequency tables, and outliers Linear interpolation

The binomial distribution

Permutations The binomial distribution: introduction The binomial distribution: continued<

Hypothesis testing for binomial

Hypothesis testing for binomial: introduction Hypothesis testing for binomrial: critical regions Hypothesis testing for binomrial: one- and two- tailed tests